OMEGA: The Fundamental Mathematical Principle Underlying the Termination of Natural Law

Omega is introduced as the mathematical dual of Genesis — the principle governing the termination, collapse, and dissolution of any dynamical system.Where Genesis proposes that global relational consistency is necessary for definability and evolution, Omega proposes the complementary result: Any violation of global relational consistency necessarily forces the collapse of all definable structure, making natural law impossible.Using first-order logic, model theory, and dynamical systems, I present a formal argument that: Inconsistency annihilates models Without a model, no mapping can be defined Without definable mappings, dynamical evolution halts Thus, all natural laws must terminate when consistency fails Omega is therefore not a natural law itself — but the terminal mathematical condition that ends all natural law. It represents the final state of all systems, matching observable collapse across quantum, molecular, biological, neural, ecological, systemic, planetary, and cosmological scales.